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Finding the Third Proportional to 131,424 and 193,680

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Solution

The third proportional to 131,424 and 193,680 is: 285,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,424 : 193,680 = 193,680 : x
  2. Step 2: Convert to fraction form
    131,424/193,680 = 193,680/x
  3. Step 3: Cross multiply
    131,424x = 193,680 × 193,680
  4. Step 4: Simplify right side
    131,424x = 37,511,942,400
  5. Step 5: Solve for x
    x = 37,511,942,400/131,424
  6. Step 6: Final answer
    x = 285,426.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.